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Finding the Third Proportional to 203,430 and 314,730

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Solution

The third proportional to 203,430 and 314,730 is: 486,924.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,430 : 314,730 = 314,730 : x
  2. Step 2: Convert to fraction form
    203,430/314,730 = 314,730/x
  3. Step 3: Cross multiply
    203,430x = 314,730 × 314,730
  4. Step 4: Simplify right side
    203,430x = 99,054,972,900
  5. Step 5: Solve for x
    x = 99,054,972,900/203,430
  6. Step 6: Final answer
    x = 486,924.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.